Large deflection analysis of membranes containing rigid inclusions

Nerantzaki, MS; Kandilas, CB

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Kandilas, CB	en
dc.date.accessioned	2014-03-01T02:50:26Z
dc.date.available	2014-03-01T02:50:26Z
dc.date.issued	2006	en
dc.identifier.issn	1743355X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35115
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Elastic membranes	en
dc.subject	Large deflections	en
dc.subject	Nonlinear	en
dc.subject	Rigid inclusion	en
dc.subject.other	Boundary element method	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Poisson equation	en
dc.subject.other	Problem solving	en
dc.subject.other	Analog Equation Method (AEM)	en
dc.subject.other	Elastic membranes	en
dc.subject.other	Large deflections	en
dc.subject.other	Rigid inclusion	en
dc.subject.other	Nonlinear equations	en
dc.title	Large deflection analysis of membranes containing rigid inclusions	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2495/BE06010	en
heal.identifier.secondary	http://dx.doi.org/10.2495/BE06010	en
heal.publicationDate	2006	en
heal.abstract	In this paper the deformation of membranes containing rigid inclusions is analyzed. These rigid inclusions can significantly change the entire stress distribution in the membrane and therefore create major difficulties for the design. The initially flat membrane, which may be prestretched by boundary in-plane tractions or displacements, is subjected to externally applied loads and to the weight of the rigid inclusions. The composite system is examined in cases where it's deformation reaches a state for which the undeformed and deformed shapes are substantially different. In such cases large deflections of membranes are considered, which result from nonlinear kinematic relations. The three coupled nonlinear equations in terms of the displacements governing the response of the membrane are solved using the Analog Equation Method (AEM), which reduces the problem to the solution of three uncoupled Poisson's equations with fictitious domain source densities. The problem is strongly nonlinear. In addition to the geometrical nonlinearity, the problem is itself nonlinear, because the membrane's reactions on the boundary of the rigid inclusions are not a priori known as they depend on the produced deflection surface. Iterative schemes are developed for the calculation of deformed membrane's configuration which converges to the final equilibrium state of the membrane with the given external applied loads. Several example problems are presented, which illustrate the method and demonstrate its accuracy and efficiency. The method has all the advantages of the pure BEM.	en
heal.journalName	WIT Transactions on Modelling and Simulation	en
dc.identifier.doi	10.2495/BE06010	en
dc.identifier.volume	42	en
dc.identifier.spage	91	en
dc.identifier.epage	100	en